Detection of coherent radar signals with unknown Doppler shift

The problem of detection of coherent radar signals with unknown Doppler shift in noise plus clutter, which is assumed to be gaussian is addressed. The authors solve the detection problem and find the optimum ALR detector. Since it includes a difficult integral, they derive several suboptimum detectors including CGLR, AALR and CALR. Comparison of these detectors via computer simulations shows that CALR and CGLR can have near-optimum performance whereas the common radar-detectors may have severe losses.